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Finding the Fourth Proportional to 16,206, 24,291.72 and 8,404.08

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Solution

The fourth proportional to 16,206, 24,291.72 and 8,404.08 is: 12,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 24,291.72 = 8,404.08 : x
  2. Step 2: Convert to fraction form
    16,206/24,291.72 = 8,404.08/x
  3. Step 3: Cross multiply
    16,206x = 24,291.72 × 8,404.08
  4. Step 4: Simplify right side
    16,206x = 204,149,558.22
  5. Step 5: Solve for x
    x = 204,149,558.22/16,206
  6. Step 6: Final answer
    x = 12,597.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.